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For what values of lambda the vectors ba...

For what values of `lambda` the vectors `bar(i) - lambda bar(j) + 2bar(k), 8bar(i) + 6bar(j) - bar(k)` are at right angles.

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The vectors 2bar(i)-3bar(j)+bar(k), bar(i)-2bar(j)+3bar(k), 3bar(i)+bar(j)-2bar(k)

Compute [bar(i) - bar(j). bar(j) - bar(k). bar(k) -bar(i)] .

Find t, for which the vectors 2bar(i) - 3bar(j) + bar(k), bar(i) + 2bar(j) -3bar(k) , bar(j) - tbar(k) are coplanar.

Find the value of [bar(i)+bar(j)+bar(k),bar(i)-bar(j),bar(i)+2bar(j)-bar(k)] .

The number of distinct real values of lambda for which the vectors -lambda^(2)bar(i)+bar(j)+bar(k), bar(i)-lambda^(2)bar(j)+bar(k), bar(i)+bar(j)-lambda^(2)bar(k) are coplanar is

If the vectors 2bar(i) + lambda bar(j) - bar(k) and 4bar(i)-2bar(j)+2bar(k) are perpendicular to each other than find lambda .

Find a unit vector perpendicular to the plane containing the vector bar(a) = 4bar(i) + 3bar(j) - bar(k), bar(b) = 2bar(i) - 6bar(j) - 3bar(k)

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SRISIRI PUBLICATION-IPE SCANNER (TEXUAL BITS)-Very Short Questions (2 marks) (Product of vectors )
  1. If vectors lambda bar(i) - 3bar(j)+5bar(k), 2lambda bar(i) - lambdabar...

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  2. If the vectors 2bar(i) + lambda bar(j) - bar(k) and 4bar(i)-2bar(j)+2b...

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  3. For what values of lambda the vectors bar(i) - lambda bar(j) + 2bar(k)...

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  4. Find the Cartesian equation of the plane passing through the point (-2...

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  5. Find the cartesian equation of the plane through the point A (2,-1,-4)...

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  6. Find the angle between the planes 2x - 3y - 6z =5 and 6x+2y-9z = 4

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  7. Find anle between planes bar(r ).(2bar(i)-bar(j) + 2 bar(k)) = 3, bar(...

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  8. If |bar(P)| = 2, |bar(q)| = 3 and (bar(p),bar(q)) = (pi)/6, then find ...

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  9. If bar(a) = 2bar(i) - 3bar(j) + bar(k) and bar(b) = bar(i) + 4bar(j) -...

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  10. Compute bar(a) xx (bar(b) + bar(c )) + bar(b) xx (bar(c ) +bar(a)) + b...

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  11. If bar(p) = xbar(i) + ybar(j) + zbar(k), find the value of |bar(p) xx ...

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  12. Compute 2 bar(j) xx (3bar(i) - 4bar(k)) + (bar(i)+2bar(j)) xx bar(k).

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  13. Find unit vector perpendicular to both bar(i) + bar(j) + bar(k) and 2b...

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  14. If bar(a) = 2bar(i) - 3bar(j) + 5bar(k), bar(b) = -bar(i) + 4bar(j) + ...

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  15. Let bar(a) = 2bar(i)-bar(j)+bar(k), bar(b) = 3bar(i) + 4bar(j) -bar(k)...

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  16. If theta is the angle between the vectors bar(i) + bar(j) , bar(j) + b...

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  17. Find the area of the triangle having (3bar(i)+4bar(j)),(-5bar(i)+7bar(...

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  18. If bar(a) = bar(i) + 2bar(j) + 3bar(k), bar(b) = 3bar(i) +5bar(j) -bar...

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  19. Find the area of the parallelogram whose adjacent sides are bar(a) = 2...

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  20. Find the vector area and area of the parallelogram having bar(a) = bar...

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